Reliability Evaluation of Engineering Systems

Concepts and Techniques
2. Auflage 1992
ISBN: 978-0-306-44063-2
Verlag: Springer US

Buch, Englisch, 453 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1860 g

In response to new developments in the field, practical teaching experience, and readers' suggestions, the authors of the warmly received Reliablity Evaluation of Engineering Systems have updated and extended the work-providing extended coverage of fault trees and a more complete examination of probability distribution, among other things-without disturbing the original's concept, structure, or style.

Zielgruppe

Research

Autoren/Hrsg.

Allan, Ronald N.

Billinton, Roy

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Produktionstechnik Zuverlässigkeitstechnik
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Bauelemente, Schaltkreise
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Elektronische Baugruppen, Elektronische Materialien
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Mikroprozessoren

Inhaltsverzeichnis

1 Introduction.- 2 Basic probability theory.- 3 Application of the binomial distribution.- 4 Network modelling and evaluation of simple systems.- 5 Network modelling and evaluation of complex systems.- 6 Probability distributions in reliability evaluation.- 7 System reliability evaluation using probability distributions.- 8 Discrete Markov chains.- 9 Continuous Markov processes.- 10 Frequency and duration techniques.- 11 Approximate system reliability evaluation.- 12 Systems with non-exponential distributions.- 13 Monte Carlo simulation.- 14 Epilogue.- Appendices.- Appendix 1—Rules of Boolean algebra.- Appendix 2—Probability distributions.- A2.1 The normal distribution function.- A2.2 Ordinate heights of the normal distribution.- A2.4 Kolmogorov-Smirnov critical values.- Appendix 3—Elementary matrix algebra.- A3.1 Concepts of matrices.- A3.2 Square matrix.- A3.3 Column matrix (or vector).- A3.4 Row matrix (or vector).- A3.5 Transposed matrix.- A3.6 Diagonal matrix.- A3.7 Identity (or unit) matrix.- A3.8 Symmetric matrix.- A3.9 Determinant of a matrix.- A3.10 Co-factors.- A3.11 Evaluation of determinants.- A3.12 Addition of matrices.- A3.13 Subtraction of matrices.- A3.14 Multiplication of matrices.- A3.15 Multiplication by a constant.- A3.16 Inverse of a matrix.- A3.17 Solution of simultaneous equations.- A3.18 Cramer’s rule for solving simultaneous equations.- Appendix 4—Differential equations and Laplace transforms.- A4.1 Differential equations.- A4.2 Laplace transforms.- A4.3 Solving differential equations using Laplace transforms.- Appendix 5—Confidence levels and limits.- A5.1 Introduction.- A5.2 Unavailability at selected confidence levels.- A5.3 Failure rate at selected confidence levels.- A5.4 Conclusions.- Problems.- References.- Solutions.